(9x-9)(10x+5)=

Solution for (9x-9)(10x+5)= equation:

Simplifying
(9x + -9)(10x + 5) = 0

Reorder the terms:
(-9 + 9x)(10x + 5) = 0

Reorder the terms:
(-9 + 9x)(5 + 10x) = 0

Multiply (-9 + 9x) * (5 + 10x)
(-9(5 + 10x) + 9x * (5 + 10x)) = 0
((5 * -9 + 10x * -9) + 9x * (5 + 10x)) = 0
((-45 + -90x) + 9x * (5 + 10x)) = 0
(-45 + -90x + (5 * 9x + 10x * 9x)) = 0
(-45 + -90x + (45x + 90x2)) = 0

Combine like terms: -90x + 45x = -45x
(-45 + -45x + 90x2) = 0

Solving
-45 + -45x + 90x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '45'.
45(-1 + -1x + 2x2) = 0

Factor a trinomial.
45((-1 + -2x)(1 + -1x)) = 0

Ignore the factor 45.
Subproblem 1
Set the factor '(-1 + -2x)' equal to zero and attempt to solve:

Simplifying
-1 + -2x = 0

Solving
-1 + -2x = 0

Move all terms containing x to the left, all other terms to the right.

Add '1' to each side of the equation.
-1 + 1 + -2x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -2x = 0 + 1
-2x = 0 + 1

Combine like terms: 0 + 1 = 1
-2x = 1

Divide each side by '-2'.
x = -0.5

Simplifying
x = -0.5
Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + -1x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1x = 0 + -1
-1x = 0 + -1

Combine like terms: 0 + -1 = -1
-1x = -1

Divide each side by '-1'.
x = 1

Simplifying
x = 1
Solution
x = {-0.5, 1}